Show $S_3$ is the semi-direct product of $A_3$ by $H=\{(1),(12)\}$
How would you prove such a question? Showing $H \cap N = \{id\}$ is fine, where $N=A_3$, but how would I show that $A_3H=G$ for semi-direct products?
Any help would be appreciated.
2026-04-01 11:59:22.1775044762
Show $S_3$ is the semi-direct product of $A_3$ by $H=\{(1),(12)\}$
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